Answer:
I was unclear if you needed this solved in vertex or standard form, so I gave you both.
Vertex form: 
Standard form: 
Step-by-step explanation:
This is a quadratic equation. In order to solve this problem, you will need these equations:
Vertex form: 
Standard form: 
Starting with vertex form:
The vertex is (4, -1). When putting this into your equation, substitute the "x" value for h, and substitute the "y" value for k.
You can disregard the "a" for this particular problem because it is equal to 1.
Standard form:
Now that you have vertex form, you can expand it into standard form.
Use the FOIL method to multiply (x - 4)(x - 4).
This will equal 
.
Keep in mind that you still have a -1 from your original equation to take into account. Once you subtract 1, this will leave you with:
Answer:
a = 17, b = 6
Step-by-step explanation:
Sides GF and GH are congruent, so we have ...
GF = GH
30 = 2a -4 . . . . substitute given values
15 = a -2 . . . . . divide by 2
17 = a . . . . . . . . add 2
Sides FJ and HJ are congruent, so we have ...
FJ = HJ
3b +6 = 24 . . . . substitute given values
b +2 = 8 . . . . . . divide by 3
b = 6 . . . . . . . . . subtract 2
The values of a and b are (a, b) = (17, 6).
Answer:
You have told us that there is $450 in Josie's bank account, and she does not make any later deposits or withdraws. You have also told us that the gym deducts $35.20 every one month in fees.
Explanation:
The answer is really easy to find. All you have to do is subtract 35.20 from 450. The problem asks for the amount of money that Josie has in her account at the end of the month - the same month that she put $450 into her account.
Solve:
450 - 35.20
= 414.80
Josie has $414.80 in her bank account at the end of the month.
<h2><u>
PLEASE MARK BRAINLIEST! </u></h2>
Given:
Teddy has two sisters. One of them is 3 years younger than Teddy, the other one is 7 years younger than her only brother.
To find:
The age of older sister at the time when the younger sister was born.
Solution:
Let the age of Teddy be x.
One sister is 3 years younger than Teddy.
Age of one sister = x-3 years
The other one is 7 years younger than her only brother. It means other sister is 7 years younger than Teddy.
Age of other sister = x-7 years
Clearly (x-3) > (x-7). So, difference between the ages of sisters is
Therefore, the age of older sister is 4 years when the younger sister was born.
